The cube is one of the Platonic polyhedra. Also known as the hexahedron, it is the dual of the octahedron.

Cube Tensegrity Structures by Snelson

Kenneth Snelson constructed a series of four tensegrity structures that metamorphose slowly from evoking a truncated octahedron to evoking a truncated cube.

Lawrence Pendred posted this unconventional 6 strut, 24 tendon tensegrity structure. The corners where the 3 tendons outline 8 locations in space that conform with a regular cube. Pendred wrote, "[This is an example of a perfectly rigid 3d framework containing no triangles! Consisting of 6 sticks arrainged in 3 parallel, mutually orthogonal pairs. Each end of each stick has 2 strings attached. The strings form 8 3-pointed stars, the centers of which form the corners of a cube. If you want an interesting suprise, calculate the dimensions of the strings relative to that of the struts, and the distance between the struts; then for an even greater suprise, imagine that twice the amount of string is used, and instead of 3-pointed stars, triangles of string are used. ( you get a fully collapsible structure that lays itself out in a very interesting pattern."

6 strut 24 tendon tensegrity structure. The corners where 3 tendons meet outline a cube, by Pendred

## Cube

The cube is one of the Platonic polyhedra. Also known as the hexahedron, it is the dual of the octahedron.

## Cube Tensegrity Structures by Snelson

Kenneth Snelson constructed a series of four tensegrity structures that metamorphose slowly from evoking a truncated octahedron to evoking a truncated cube.

Burkhardt posted the photo with permission here: http://bobwb.tripod.com/snelson/cubemetamorphosis.html

## 8 Strut Zig Zag Cube by Burkhardt

Burkhardt created a ray trace of a zig zag instantiation of an 8 strut cube.

Link: http://www.trip.net/~bobwb/ts/synergetics/photos/zzcube.html

## 6 strut tensegrity outlines the corners of a cube

Lawrence Pendred posted this unconventional 6 strut, 24 tendon tensegrity structure. The corners where the 3 tendons outline 8 locations in space that conform with a regular cube. Pendred wrote, "[This is an example of a perfectly rigid 3d framework containing no triangles! Consisting of 6 sticks arrainged in 3 parallel, mutually orthogonal pairs. Each end of each stick has 2 strings attached. The strings form 8 3-pointed stars, the centers of which form the corners of a cube. If you want an interesting suprise, calculate the dimensions of the strings relative to that of the struts, and the distance between the struts; then for an even greater suprise, imagine that twice the amount of string is used, and instead of 3-pointed stars, triangles of string are used. ( you get a fully collapsible structure that lays itself out in a very interesting pattern."

Link: http://www.pendred.net/Polyhedra/six_sticks.htm

## 8 strut tensegrity cube

Angelo Agostini constructed a model of two concentric cubes, rotated around their center.

this tensegrity is based on 2 concentric cubes, rotated around the center - link.

The concentric construction idea could apply to any platonic solid - see also a 4 strut tetrahedron by the same author.

Portal to Polyhedra